Mathematics – General Mathematics
Scientific paper
2002-10-30
Studii si Cercetari Stiintifice, Series: Mathematics, No. 14, 179-200, 2004.
Mathematics
General Mathematics
24 pages, 28 tables, 3 graphs
Scientific paper
In this paper we take a look at a simple portfolio insurance strategy using a protective put and computationally derive the investor's governing utility structures underlying such a strategy under alternative market scenarios. Investor utility is deemed to increase with an increase in the excess equity generated by the portfolio insurance strategy over a simple investment strategy without any insurance. Three alternative market scenarios (probability spaces) have been explored -- 'Down', 'Neutral' and 'Up', categorized according to whether the price of the underlying security is most likely to go down, stay unchanged or go up. The methodology used is computational, primarily based on simulation and numerical extrapolation. The Arrow-Pratt measure of risk aversion has been used to determine how the investors react towards risk under the different scenarios.
Bhattacharya Sukanto
Khoshnevisan Mohammad
Smarandache Florentin
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